Question

Mrs. Daniel pays $324 for a handbag and 3 pairs of shoes. The handbag costs half as much as the 3 pairs of shoes combined. Find the cost of the handbag.

Answer 1

`h-the\ handbag\\s-shoes\\\\ \left\{\begin{array}{ccc}h+3s=324\\h=(1)/(2)\cdot3s\end{array}\right\\\left\{\begin{array}{ccc}h+3s=324\\h=(3)/(2)s&/\cdot(2)/(3)\end{array}\right\\\left\{\begin{array}{ccc}h+3s=324\\s=(2)/(3)h\end{array}\right\\\\substitute:\\\\h+3\cdot(2)/(3)h=324\\h+2h=324\\3h=324\ \ \ \ /:3\\h=108\\\\Answer:Cost\ of\ the\ handbag\ is\ \$108.`